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3 years ago

3) -2x – 3y = -7 -4x + y = 21 A) (-8, 4) C) (2, 4) B) (-4,5) D) No solution

Mathematics

1 answer:

FromTheMoon [43]3 years ago

6 0

Answer:

B). (-4, 5)

Step-by-step explanation:

-2x – 3y = -7 | ×2 |

-4x + y = 21 | ×1 |

-4x – 6y = -14

-4x + y = 21

____________ --

-7y = -35

y = -35/-7

y = 5

-4x + y = 21

-4x + 5 = 21

-4x = 21 - 5

-4x = 16

x = 16/-4

x = -4

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Pie

$\bold{\huge{\underline{ Solution }}}$

We have, 

Line segment AB
The coordinates of the midpoint of line segment AB is ( -8 , 8 )
Coordinates of one of the end point of the line segment is (-2,20)

Let the coordinates of the end point of the line segment AB be ( x1 , y1 ) and (x2 , y2)

Also, 

Let the coordinates of midpoint of the line segment AB be ( x, y)

We know that,

For finding the midpoints of line segment we use formula :-

$\bold{\purple{ M( x, y) = }}{\bold{\purple{\dfrac{(x1 +x2)}{2}}}}{\bold{\purple{,}}}{\bold{\purple{\dfrac{(y1 + y2)}{2}}}}$

According to the question,

The coordinates of midpoint and one of the end point of line segment AB are ( -8,8) and (-2,-20) .

For x coordinates :-

$\sf{ -8 = }{\sf{\dfrac{(- 2 +x2)}{2}}}$

$\sf{2}{\sf{\times{ -8 = - 2 + x2 }}}$

$\sf{ - 16 = - 2 + x2 }$

$\sf{ x2 = -16 + 2 }$

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For y coordinates :-

$\sf{ 8 = }{\sf{\dfrac{(- 20 +x2)}{2}}}$

$\sf{2}{\sf{\times{ 8 = - 20 + x2 }}}$

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